What is the cross product of $< 0, 4, 1 >$ $<0 ,4 ,1 >$ and $< - 5, 2, 8 >$ $<-5 ,2 ,8 >$ ?

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Answer 1 · 2018-03-20T15:50:39

$< 30, 5, 20 >$ $<30,5,20>$

$(a 1, a 2, a 3) x (b 1, b 2, b 3)$ $(a1,a2,a3) x (b1,b2,b3)$

$a = < 0, 4, 1 >$ $a= <0,4,1>$
$b = < - 5, 2, 8 >$ $b=<-5,2,8>$

$= < (a 2 b 3 - a 3 b 2), (a 1 b 3 - a 3 b 1), (a 1 b 2 - a 2 b 1) >$ $=<(a2b3-a3b2), (a1b3-a3b1), (a1b2-a2b1)>$

What is the cross product of <0 ,4 ,1 ><0,4,1><0 ,4 ,1 > and <-5 ,2 ,8 ><−5,2,8><-5 ,2 ,8 >?